GCD of 852, 936, 44, 354 Calculator

Given Input numbers are 852, 936, 44, 354

In the factoring method, we have to find the divisors of all numbers

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (852, 936, 44, 354) = 2.

Given numbers are 852, 936, 44, 354

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 44 are 2 x 2 x 11

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 852, 936, 44, 354 is 2.

Given numbers are 852, 936, 44, 354

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(852, 936) = 66456

GCD(852, 936) = ( 852 x 936 ) / 66456

= 852 / 936

= 852

Step2:

LCM(12, 44) = 132

GCD(12, 44) = ( 12 x 44 ) / 132

= 12 / 44

= 12

Step3:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

So, Greatest Common Divisor of 852, 936, 44, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 515, 99, 193
• GCD of 599, 608, 76, 234
• GCD of 170, 866, 16, 475
• GCD of 854, 538, 64, 478
• GCD of 790, 923, 19, 245

Given numbers are 852, 936, 44, 354
The greatest common divisor of numbers 852, 936, 44, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 936, 44, 354 is 2.

1. What is the GCD of 852, 936, 44, 354?

GCD of given numbers 852, 936, 44, 354 is 2

2. How to calculate the greatest common divisor of 852, 936, 44, 354?

We can find the highest common divisor of 852, 936, 44, 354 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 852, 936, 44, 354 i.e 2.

3. How can I use the GCD of 852, 936, 44, 354Calculator?

Out the numbers 852, 936, 44, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.